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Finding the Third Proportional to 489,357 and 748,662

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Solution

The third proportional to 489,357 and 748,662 is: 1,145,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,357 : 748,662 = 748,662 : x
  2. Step 2: Convert to fraction form
    489,357/748,662 = 748,662/x
  3. Step 3: Cross multiply
    489,357x = 748,662 × 748,662
  4. Step 4: Simplify right side
    489,357x = 560,494,790,244
  5. Step 5: Solve for x
    x = 560,494,790,244/489,357
  6. Step 6: Final answer
    x = 1,145,369.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.